Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 64, Issue 12, Pages 5066-5073Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2019.2907888
Keywords
Delays; Stochastic processes; Numerical stability; Asymptotic stability; Circuit stability; Stability criteria; Energy-to-peak stochastic stability (EPSS); multiplicative noises; roesser model; two-dimensional (2-D) systems
Funding
- National Foundation for Science and Technology Development of Vietnam [101.01-2018.05]
Ask authors/readers for more resources
This paper is concerned with the problem of energy-to-peak stochastic stability (EPSS) of two-dimensional (2-D) Roesser systems in the presence of state time-varying delays and multiplicative noises. First, a scheme that ensures a 2-D stochastic time-delay system is stochastically stable with an attenuation performance is proposed. The scheme presented in this paper can be regarded as an extension of the Lyapunov-Krasovskii functional method for 2-D stochastic time-delay systems, focusing on the EPSS problem. The proposed scheme is then utilized to derive delay-dependent EPSS conditions in terms of tractable linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the derived stability conditions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available